 padic number

an element of an extention of the field of rational numbers based on the divisibility of integers by a prime number p
Wikipedia foundation.
Look at other dictionaries:
Padic number — In mathematics, the p adic number systems were first described by Kurt Hensel in 1897 [cite journal  last = Hensel  first = Kurt  title = Über eine neue Begründung der Theorie der algebraischen Zahlen  journal =… … Wikipedia
padic number — In mathematics, and chiefly number theory, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number… … Wikipedia
Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… … Wikipedia
Number — For other uses, see Numbers (disambiguation). A number is a mathematical object used to count and measure. In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational… … Wikipedia
Number system — This article is about different sets of numbers. For different methods of expressing numbers with symbols, see numeral system. In mathematics, a number system is a set of numbers, (in the broadest sense of the word), together with one or more… … Wikipedia
padic Lfunction — In mathematics, a p adic zeta function, or more generally a p adic L function, is a function analogous to the Riemann zeta function, or more general L functions, but whose domain and target are p adic (where p is a prime number). For example, the … Wikipedia
Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… … Wikipedia
Padic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers.The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… … Wikipedia
List of algebraic number theory topics — This is a list of algebraic number theory topics. Contents 1 Basic topics 2 Important problems 3 General aspects 4 Class field theory … Wikipedia
Padic quantum mechanics — One may compute the energy levels for a potential well like this one.[note 1] P adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p adic analysis to quantum… … Wikipedia